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An efficient and accurate model of a distributed feedback laser integrated with an electroabsorption modulator (integrated laser modulator) is presented. The model is based on an experimental characterization of the absorption, adiabatic chirp, transient chirp, and intensity modulation (IM) frequency response. Agreement between calculated and measured results for the large-signal modulation dynamics (intensity and chirp) is obtained. By implementing the model in a system simulation tool, it is shown that the adiabatic chirp due to reflection from the modulator facet must be considered to accurately assess the performance of systems with dispersive fiber and tight optical filtering.